10-26 Exercise 3: Find roots of a quadratic equation

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Write a program to find roots of a quadratic equation

A quadratic equation is a second order equation having a single variable. Any quadratic equation can be represented as where a, b and c are constants ( a can't be 0) and x is unknown variable. 

寫一個找二次方程的求根程式

For Example

 is a quadratic equation where a, b and c are 2, 5 and 3 respectively.

To calculate the roots of quadratic equation we can use below formula. There are two solutions of a quadratic equation.

使用下列公式:

x = (-b + sqrt(D))/(2*a)
x = (-b - sqrt(D))/(2*a)

where, D = (b*b-4*a*c) is Discriminant (判別式), which differentiate the nature of the roots of quadratic equation.

For the complex result (複數根):

realPart = -b/(2*a);
imaginaryPart =sqrt(-D)/(2*a);

Note: We have used sqrt() function to find square root which is in math.h library.

 

Example input 1:

1 2 1

Example output 1:

Roots of 1.00x^2 + 2.00x + 1.00 = 0 are real and same
x1 = x2 = -1.00

 

Example input 2:

1 -3 2

Example output 2:

Roots of 1.00x^2 + -3.00x + 2.00 = 0 are real and different
x1 = 2.00
x2 = 1.00

 

Example input 3:

1 2 2

Example output 3:

Roots of 1.00x^2 + 2.00x + 2.00 = 0 are complex and different
x1 = -1.00+1.00i
x2 = -1.00-1.00i
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Everything is fixed. Enjoy your time with The Judge :)
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ANNNNNNNNNNNNNNNNNNNNNNNNNNGRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
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Your code has newline at the end sometime. You learned this lesson many times!
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After i correct the newline in my code,there is still wrong output.However,I had run the program in Codeblocks.The output is still as well as the result. Seeking for help.
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your output lack of 1 space at line 8 when print out "Roots of ...". Please be careful with all small details when working with online judge
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#include <stdio.h>
#include <stdlib.h>

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prog.c: In function 'main':
prog.c:12:14: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b + sqrt(D))/(2*a);
              ^~~~
prog.c:12:14: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:12:14: note: include '<math.h>' or provide a declaration of 'sqrt'
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Hidden content!
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prog.c: In function 'main':
prog.c:6:5: warning: implicit declaration of function 'scanf' [-Wimplicit-function-declaration]
     scanf("%f%f%f",&a,&b,&c);
     ^~~~~
prog.c:6:5: warning: incompatible implicit declaration of built-in function 'scanf'
prog.c:6:5: note: include '<stdio.h>' or provide a declaration of 'scanf'
prog.c:12:9: warning: implicit declaration of function 'printf' [-Wimplicit-function-declaration]
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are real and same\n",a,b,c);
         ^~~~~~
prog.c:12:9: warning: incompatible implicit declaration of built-in function 'printf'
prog.c:12:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:17:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:17:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:23:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:23:9: note: include '<stdio.h>' or provide a declaration of 'printf'
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prog.c: In function 'main':
prog.c:8:12: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b+sqrt(D))/(2*a);
            ^~~~
prog.c:8:12: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:8:12: note: include '<math.h>' or provide a declaration of 'sqrt'
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>
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#include <stdio.h>
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prog.c: In function 'main':
prog.c:10:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
         x1=(-b+sqrt(D))/(2*a);
                ^~~~
prog.c:10:16: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:10:16: note: include '<math.h>' or provide a declaration of 'sqrt'
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Case 1: Wrong output
Case 2: Wrong output
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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Case 3: Correct output
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Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
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Hidden content!
#include    ***  ***   *      
#include * *** * *  * 

int main()
{
** ** ** *  *   *  * ** *     * * a, b, c,  *** *  x1,x2, realPart,   *     ***


    ** *  **  **   * **  * *  * ****  %lf     *   ***    **  &b, &c);


  **     *  *   * * **   **  **  ** * = b*b-4*a*c;

** * ****** **       *  * ******* * condition for real and different roots


**   * ** ***  *  **  ***  ** ***  for real and equal roots
    *   **    **  * ****    ***  ** (determinant == 0)
**   * * * * *    ** ***
** * *    * * * ** *  * *  * * * *   **** **** ** **   = x2 = -b/(2*a);
 **** ***  ****** * **  ** ** **    * * **    *    ** * * ** ***    of %.2fx^2 + %.2fx + %.2f = 0 are real and  * **  ** *  a,b,c);
      *  **** ** * ******   * * *** * *    *** *   *  * * *  * *   **  * = x2 =  *  ** * * x1);
 ** **  *    **    ** * 

  *  * *    ***** **  *  **  ****   *  if (determinant > 0)
*  ****  **  * **  **   *
* ***  *  *  ***   **    ******  sqrt() function returns square root
****  *** *  *** *   ** * *  *** * ** * * **** ***  = * * ** * * ***  *
*****    *****    ** * * *   **     *   ** ** *    **  **  =   *** ** * *  * * 

 * **** ***** *  ** ***   **  * *  ** ******* ** * **** * * *** of %.2fx^2 + %.2fx + %.2f = 0 are real and ** **  ****   ***    
**    *   ** * *  *     ** *** **  ***** * ********  * **    * * ***  *** =  **    * * x1);
*   *       * *    ****   ***    *  **   **  * *** ** **** * *   * = * * * *   ** x2);
*  * ***   *  ** *  * *  *   * if roots are not real
*    *  ***  **** *** **
* **       ** * **  ** **** 
*  ***** *  *** ** *  **  * * ** *   *  *  *** * *  *  * **** ** *  = -b/(2*a);
    **      *   ***   *** *     **** ******  *  *    *  ** ***  =    *    ** **** *
 *    **      * *   *        * * **  ****  * ** **      **** of %.2fx^2 + %.2fx + %.2f = 0 are complex and ** *     * **  * a,b,c);
* ******  * *    ** * ** ****** **     ** **  **** * ** ****  * * * * * =  **    ** ***** realPart,   **  * *   
*****  **  * * ***  * ***** * * * * * * **** *  *   *   ** *   * *   =   **  **    * * realPart, ****  * * 
 ****    ********** ** * ***

**  **    * * **    * *** * **  0;
}
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